查询词典 piecewise differentiable function

V-system is a complete orthogonal system on L_2[0,1], which was constructed in 2005 by the author of this paper. V-system of degree k is composed of piecewise k-order polynomials, has multiresolution property, and is a generalization of Harr wavelet.

V系统是作者2005年构造的一类L_2[0，1]空间上的正交完备函数系。k次V系统由k次分片多项式组成，具有多分辨特性，是Haar小波函数的推广。

The V-system is a new class of complete orthogonal functions system in L2[0,1], which is composed of piecewise kth-order polynomials. There are continuous functions as well as discontinuous functions in V-system.

V-系统是一类由分片多项式构成的正交函数系，函数系中既有连续函数又有间断函数。

In the studies of EEG forward problems, primarily the EEG computation models are established, the analysis solution for concentric circle models and the boundary element method for piecewise humongous models are developed. These provide the basis for EEG inverse problems.

在EEG正问题的研究中，首先建立EEG计算模型，研究了针对同心球模型的解析解法和针对任意分层均匀介质的边界元法，为EEG逆问题研究奠定了基础。

In this paper we investigate the dynamical properties of continuous mapson a class of hereditarily decomposable chainable continua and the structure ofthe inverse limit space using a piecewise monotone continuous map with zerotopological entropy on a finite graph as a single bonding map.

本文研究了一类遗传可分可链连续统上连续自映射的动力性质并且对有限图上逐段单调且具有零拓扑熵的连续自映射的逆极限空间的拓扑结构进行了较为细致的刻画。

Conley index; prime isolated invariant set; bifurcation point; discontinuity dynamical systems; finite piecewise continuous map; coding; rigorous computer assisted proof; chaos; Ikeda map

基础科学，数学，动力系统理论Conley指标；素孤立不变集；分支点；间断动力系统；有限分片连续映射；编码；计算机严格辅助证明；混沌； Ikeda映射

Under the assumptionthat the covariant derivative of the sections satisfies the Lipschitz condition with L-averagealong the piecewise geodesic, a unified convergence criterion for Newton\'s method and theradii of the uniqueness balls of singular points around the initial points of sections are es-tablished.

本章的主要内容包括以下两个方面：当截面的协变导数满足沿着分段测地线的关于取正值非减可积函数L-平均的Lipschitz条件条件时，本文给出了关于截面的Newton法收敛的统一判据，同时给出了在初始点附近的关于截面的奇异点的唯一性球的半径的估计。

One of them is piecewise continuous argument delay differential equation, simply called EPCA.

其中第一类为分段连续的时滞微分方程，简称为EPCA。

In this scheme, the unitary evolution is followed by a measurement and vise versa. The whole process is in fact a piecewise deterministic process which is famous in open system theory.

该算法实际上可以看作确定性幺正演化和测量导致的随机塌缩交替进行的过程，类似于开放系统的分段确定性过程。

In a sense,it can be seen as the time when semi-dynamic system is killed ,or as the time the first random jump of piecewise deterministic Markov process .

它直观上可视作半动力系统随机中断的时刻，亦可视作逐段决定马尔可夫过程的首次随机跳跃时刻。

During the high-voltage device design, the thick epitaxial layer LDMOS which is compatible with current technology was researched. This device used piecewise VLD and multiple region structure F reduce field layer. The using of the F reduce field layer effectively reduce the surface electric field of the device, shorten the length of its drift region, enlarge the choice of range of the ion implant dose of the P layer, and effectively restrain the disadvantageously affection on the breakdown voltage of the interface charge Qss.

在高压器件研究中对与现有工艺相兼容厚外延LDMOS进行研究，该结构采用分段变掺杂多区P~-降场层，有效降低器件的表面电场，缩短器件的漂移区长度，增大P~-降场层注入剂量的选择范围，并有效地抑制界面电荷Qss对器件耐压的不利影响。

My father is over 60 years old, and he lifts weights every day.

我爸爸六十多岁了，他每天都练习举重。

Then in a serious tone she declared:"It doesn't pay, dear boy, to look like a ninny with one's wife the first night."

两眼湿润了，她把身子蜷得很小，这样似乎可以更好地闻闻自己。